222136416 has 144 divisors (see below), whose sum is σ = 681080400. Its totient is φ = 68419584.

The previous prime is 222136403. The next prime is 222136427. The reversal of 222136416 is 614631222.

222136416 is a `hidden beast` number, since 2 + 2 + 2 + 13 + 641 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 222136416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 288480 + ... + 289248.

It is an arithmetic number, because the mean of its divisors is an integer number (4729725).

Almost surely, 2^222136416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222136416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340540200).

222136416 is an abundant number, since it is smaller than the sum of its proper divisors (458943984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

222136416 is a wasteful number, since it uses less digits than its factorization.

222136416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 850 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 222136416 is about 14904.2415439364. The cubic root of 222136416 is about 605.6288941143.

Adding to 222136416 its reverse (614631222), we get a palindrome (836767638).

The spelling of 222136416 in words is "two hundred twenty-two million, one hundred thirty-six thousand, four hundred sixteen".